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Finding the Third Proportional to 38,632 and 61,404

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Solution

The third proportional to 38,632 and 61,404 is: 97,599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,632 : 61,404 = 61,404 : x
  2. Step 2: Convert to fraction form
    38,632/61,404 = 61,404/x
  3. Step 3: Cross multiply
    38,632x = 61,404 × 61,404
  4. Step 4: Simplify right side
    38,632x = 3,770,451,216
  5. Step 5: Solve for x
    x = 3,770,451,216/38,632
  6. Step 6: Final answer
    x = 97,599.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.